Least Common Multiple of 48/692, 28/201, 310/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/692, 28/201, 310/339 quickly i.e. 52080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/692, 28/201, 310/339 is 52080.

LCM(48/692, 28/201, 310/339) = 52080

LCM of 48/692, 28/201, 310/339

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 48/692,28/201,310/339

Given numbers are 48/692,28/201,310/339

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 48,28,310

Least Common Multiple of Numerators i.e. LCM of 48,28,310 is 52080.

GCF of Denominators means GCF of 692,201,339 as per the given fractions.

GCF of 692,201,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,28,310

LCM of Fractions 48/692,28/201,310/339 is 52080

2 48, 28, 310
2 24, 14, 155
12, 7, 155

∴ So the LCM of the given numbers is 2 x 2 x 12 x 7 x 155 = 52080

Least Common Multiple of 48,28,310 with GCF Formula

Least Common Multiple of 48,28,310 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 48,28,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,28,310) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(48,28,310) x common factors =2 x 4 = 8

LCM(48,28,310) = ( 48 × 28 × 310 ) / 8

LCM(48,28,310) = 416640 / 8

LCM(48,28,310) = 52080


Lets's calculate GCF of 692,201,339

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52080/1

Therefore the LCM of Fractions 48/692,28/201,310/339 is 52080

Greatest Common Factor of 692,201,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 692,201,339 By Matching Biggest Common Factor Method

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 692,201,339 . The biggest common factor number is the GCF number.
So the greatest common factor 692,201,339 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 48/692, 28/201, 310/339

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 48/692, 28/201, 310/339?

Answer: LCM of Numerators as per given numbers 48/692, 28/201, 310/339 is

LCM of Numerators i.e. for 48,28,310 is 52080

GCF of denominators i.e. for 692,201,339 is 1.

Thus, LCM of Fractions is 52080.Finally, LCM of Fractions for 48/692, 28/201, 310/339 is 52080.